Answer:
56.714°
Step-by-step explanation:
Since we do not have a full angle of this proposed triangle, we must do this by splitting it into two right triangles instead of using the law of sines.
250m*sin(40°) = 250m*0.64278760968 = 160.696902422m
452.4m-160.696902422m=291.703097578m
Use pythagorean theorem:
62500-25823.494448025787=36676.505552
= 191.511110779m
arctan(291.703097578m/191.511110779m)≈56.714°
440 gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get a mixture that is 70% antifreeze
<em><u>Solution:</u></em>
Let "x" be the gallons of 80 % antifreeze added
Therefore, "x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze
Final mixture is x + 80
Therefore, we can frame a equation as:
"x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get (x + 80) gallons of 70 % antifreeze
Thus, we get,
x gallons of 80 % + 80 gallons of 15 % = (x + 80) gallons of 70 %
Thus 440 gallons of 80 % antifreeze solution must be mixed